Indecomposable decompositions of modules whose direct sums are CS.
type: Item
instance of: scholarly article
title: Indecomposable decompositions of modules whose direct sums are CS.
zbMATH Open document ID: 1077.16008
DOI: 10.1016/S0021-8693(03)00031-0
published in: Journal of Algebra
publication date: 2003-06-09T00:00:00Z
review text: The authors provide an affirmative answer to their following question [see Contemp. Math. 259, 467-473 (2000; Zbl 0977.16002)]: whether every aleph-one-omega-CS-module \(M\) (i.e., \(M\) is such that every direct sum \(N\) of copies of \(M\) indexed by a set with cardinality \(\aleph_1\) is CS, i.e., every closed submodule of \(N\) is a direct summand of \(N\)) is already a direct sum of uniforms.
Mathematics Subject Classification ID: 16D70
Mathematics Subject Classification ID: 16D50
zbMATH DE Number: 1924694
zbMATH Keywords: CS-modules
zbMATH Keywords: direct sums of uniform modules
zbMATH Keywords: indecomposable decompositions
author: José L. Gómez-Pardo
author: Pedro A. Guil Asensio
reviewed by: Tong Wenting
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1924694